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22210201002120 = 23351937263278817
BaseRepresentation
bin1010000110011001101110…
…01001000010000010001000
32220122021102002120122022120
411003030313021002002020
510402342442424031440
6115123120412051240
74451430325405635
oct503146711020210
986567362518276
1022210201002120
1170933254a098a
1225a859b463b20
13c5154a39cbb1
1456ad9d91518c
15287b11b4bdd0
hex143337242088

22210201002120 has 128 divisors (see below), whose sum is σ = 72033084604800. Its totient is φ = 5459349528576.

The previous prime is 22210201002007. The next prime is 22210201002127. The reversal of 22210201002120 is 2120010201222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22210201002120.

It is not an unprimeable number, because it can be changed into a prime (22210201002127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131555049 + ... + 131723768.

It is an arithmetic number, because the mean of its divisors is an integer number (562758473475).

Almost surely, 222210201002120 is an apocalyptic number.

22210201002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22210201002120 is an abundant number, since it is smaller than the sum of its proper divisors (49822883602680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22210201002120 is a wasteful number, since it uses less digits than its factorization.

22210201002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263278887 (or 263278883 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22210201002120 its reverse (2120010201222), we get a palindrome (24330211203342).

The spelling of 22210201002120 in words is "twenty-two trillion, two hundred ten billion, two hundred one million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 37 38 40 57 60 74 76 95 111 114 120 148 152 185 190 222 228 285 296 370 380 444 456 555 570 703 740 760 888 1110 1140 1406 1480 2109 2220 2280 2812 3515 4218 4440 5624 7030 8436 10545 14060 16872 21090 28120 42180 84360 263278817 526557634 789836451 1053115268 1316394085 1579672902 2106230536 2632788170 3159345804 3949182255 5002297523 5265576340 6318691608 7898364510 9741316229 10004595046 10531152680 15006892569 15796729020 19482632458 20009190092 25011487615 29223948687 30013785138 31593458040 38965264916 40018380184 48706581145 50022975230 58447897374 60027570276 75034462845 77930529832 97413162290 100045950460 116895794748 120055140552 146119743435 150068925690 185085008351 194826324580 200091900920 233791589496 292239486870 300137851380 370170016702 389652649160 555255025053 584478973740 600275702760 740340033404 925425041755 1110510050106 1168957947480 1480680066808 1850850083510 2221020100212 2776275125265 3701700167020 4442040200424 5552550250530 7403400334040 11105100501060 22210201002120